OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 12 — Dec. 1, 2013
  • pp: 2547–2555

Propagation of electromagnetic beams of any state of spatial coherence and polarization through multilayered stratified media

Mayukh Lahiri and Emil Wolf  »View Author Affiliations


JOSA A, Vol. 30, Issue 12, pp. 2547-2555 (2013)
http://dx.doi.org/10.1364/JOSAA.30.002547


View Full Text Article

Enhanced HTML    Acrobat PDF (656 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a theory of propagation of a partially coherent and partially polarized electromagnetic beam through a multilayered stratified medium. The analysis shows that spatial coherence and polarization properties of the beam change, in general, on propagation through such a medium. We illustrate the results by an example.

© 2013 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(120.5710) Instrumentation, measurement, and metrology : Refraction
(260.5430) Physical optics : Polarization

ToC Category:
Coherence and Statistical Optics

History
Original Manuscript: September 12, 2013
Manuscript Accepted: September 28, 2013
Published: November 14, 2013

Citation
Mayukh Lahiri and Emil Wolf, "Propagation of electromagnetic beams of any state of spatial coherence and polarization through multilayered stratified media," J. Opt. Soc. Am. A 30, 2547-2555 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-12-2547


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. F. Abelès, “Sur la propagation des ondes électromagnétiques dans les milieux stratifiés,” Ann. Phys. 3, 504–520 (1948).
  2. F. Abelès, “Recherches sur la propagation des ondes électromagnétiques sinusoidales dans les milieux stratifiés. Application aux couches minces,” Ann. Phys. 5, 596–640 (1950).
  3. F. Abelès, “Recherches sur la propagation des ondes électromagnétiques sinusoidales dans les milieux stratifiés. Application aux couches minces (second part),” Ann. Phys. 5, 707–782 (1950).
  4. F. Abelès, “Methods for determining optical parameters of thin films,” Prog. Opt. 2, 249–288 (1963). [CrossRef]
  5. O. S. Heavens, Optical Properties of Thin Solid Films (Dover, 1965).
  6. P. Yeh, A. Yariv, and C.-S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. 67, 423–438 (1977). [CrossRef]
  7. A. Yariv and P. Yeh, “Electromagnetic propagation in periodic stratified media. II. Birefringence, phase matching, and x-ray lasers,” J. Opt. Soc. Am. 67, 438–448 (1977). [CrossRef]
  8. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University, 1999).
  9. E. Wolf, Introduction to the Theory of Coherence and Polarization of Light (Cambridge University, 2007).
  10. Another definition of spatial degree of coherence is proposed in [25]. There have been some discussions relating to this definition [26,27]. However, for the problem addressed in this paper, it does not matter which of the definitions is used.
  11. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University, 1995).
  12. The formula is obtained as immediate generalization of the corresponding scalar version presented in Ref. [11], Section 5.6. In Eq. (5), we have neglected the contributions from evanescent waves. It is a reasonable assumption for this problem.
  13. In the case when the normal is not along the direction of stratification, one additional rotation matrix needs to be introduced in the analysis.
  14. M. Lahiri and E. Wolf, “Theory of refraction and reflection with partially coherent electromagnetic beams,” Phys. Rev. A 86, 043815 (2012). [CrossRef]
  15. It is to be noted that the matrix U↔(0) is, in general, not unitary. For a discussion on this see Ref. [14].
  16. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, 2004).
  17. Formulas for s(M) and q(M) are obtained by following the same technique used in Ref. [14], Appendix D.
  18. F. Gori, M. Santarsiero, G. Piquero, R. Borghi, A. Mondello, and R. Simon, “Partially polarized Gaussian Schell-model beams,” J. Opt. A 3, 1–9 (2001). [CrossRef]
  19. T. Shirai, O. Korotkova, and E. Wolf, “A method of generating electromagnetic Gaussian Schell-model beams,” J. Opt. A 7, 232–237 (2005). [CrossRef]
  20. O. Korotkova, M. Salem, and E. Wolf, “The far-zone behavior of the degree of polarization of electromagnetic beams propagating through atmospheric turbulence,” Opt. Commun. 233, 225–230 (2004). [CrossRef]
  21. H. Roychowdhury and O. Korotkova, “Realizability conditions for electromagnetic Gaussian Schell-model sources,” Opt. Commun. 249, 379–385 (2005). [CrossRef]
  22. F. Gori, M. Santarsiero, R. Borghi, and V. Ramírez-Sánchez, “Realizability condition for electromagnetic Schell-model sources,” J. Opt. Soc. Am. A 25, 1016–1021 (2008). [CrossRef]
  23. M. Alonso, O. Korotkova, and E. Wolf, “Propagation of the electric correlation matrix and the van Cittert–Zernike theorem for random electromagnetic fields,” J. Mod. Opt. 53, 969–978 (2006). [CrossRef]
  24. The formula used [see, for example, [28], Section 3.323, Eq. (2)]: ∫−∞∞dte−β2t2e±qt=(π/β)eq2/4β2,Re{β2}>0.
  25. T. Setälä, J. Tervo, and A. T. Friberg, “Complete electromagnetic coherence in the space-frequency domain,” Opt. Lett. 29, 328–330 (2004). [CrossRef]
  26. E. Wolf, “Comment on complete electromagnetic coherence in the space-frequency domain,” Opt. Lett. 29, 1712–1714 (2004). [CrossRef]
  27. T. Setälä, J. Tervo, and A. T. Friberg, “Reply to comment on complete electromagnetic coherence in the space-frequency domain,” Opt. Lett. 29, 1713 (2004). [CrossRef]
  28. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed. (Academic, 2000).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited